I have three tapers (or angles) that intersect with each other.
Theoretically, if I were given the total length from 0 to Y and the total
height 0 to X and of course the three angles, is it possible to calculate
each angles length and height?

Two walls are 10 ft. apart. Two ladders, one 15 ft. long and one 20
ft. long, are placed at the bottoms of the walls leaning against the
opposite walls. How far from the ground is the point of intersection?

I am trying to build a model house but am having trouble with laying out
the roof. The main part of the house has a peaked roof (an "A" frame
house); the angle formed when the roof meets the ground is 60 degrees.
There is an addition onto the A-frame with a 30 degree angle formed to
the walls. What angle should the addition's roof be cut at so it meets
the A-frame roof?

Find the area of a hexagon made from a triangle with squares appended to
each of its sides and three more triangles each consisting of one unknown
side and two sides which are shared with two of the squares.

My Dad and I are building a round pen for our horse. We have 16
16ft. panels and a 10 ft. gate and a 4ft. gate. (270 ft. total) We
want to use a radius and mark the places to dig holes for each post
that will support the panels, but we don't know how long the radius
should be. Can you help?

Is there a formula for calculating the length of wire that can go on a
reel (spindle) where the reels may have different diameters, hub
diameters, and widths, and the wires may have different diameters?